Use the dot product to determine whether the vectors are parallel, orthogonal, or neither.v = 2i - j,  w = 4i - 2j

A. parallel
B. orthogonal
C. neither


Answer: A

Mathematics

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Solve the problem. Round your answer, if appropriate.Electrical systems are governed by Ohm's law, which states that V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 6 A/s while the voltage remains constant at 12 V, at what rate is the resistance increasing (in ?/sec) when the current is 60 A? (Do not round your answer.)

A.  ?/sec
B.  ?/sec
C.  ?/sec
D.  ?/sec

Mathematics

Give the equation of the oblique asymptote, if any, of the function.f(x) = 

A. y = 0 B. y = 2x + 1 C. y = 2x D. y = 2x - 1

Mathematics

In circle O, chords PQ and AB intersect at point E. Then

(a) ?AEQ = 0.5(?PEA + ?QEB). (b) (AE)(QE) = (BE)(PE). (c) AE/PE = QE/BE. (d) AP + PB = 180° (e) All of these are correct.

Mathematics

A woman needs $6720 in 12 years to pay for her child's college tuition. She wants to deposit an equal amount at the end of each year into an account paying 10% interest compounded annually. Let yn represent the amount in the account at the end of the year. Find the difference equation.

A. yn = 1.1yn-1, y0 = 0 B. yn = 0.1yn-1 + D, y0 = 6720 C. yn = 1.1yn-1 + D, y0 = 0 D. yn = 1.1yn-1 + D, y0 = 6720 E. none of these

Mathematics